J.R. S. answered 05/13/23
Ph.D. University Professor with 10+ years Tutoring Experience
C6H12O6 + 6 O2 = 6 CO2 + 6 H2O .. balanced equation
mols CO2 desired = 22.78 g CO2 x 1 mol CO2 / 44.01 g = 0.5176 mols CO2
mass C6H12O6 needed = 0.5176 mol CO2 x 1 mol C6H12O6/6 mol CO2 x 180.16 g/mol = 15.542 g C6H12O6
As an aside, asking to round the answer to 3 digits after the decimal is inane, as none of the values in the original question has such accuracy.